Báo cáo toán học: "Stable Equivalence over Symmetric Functions" doc

... equivalent to each other over symmetric functions. As a consequence, the Jacobi-Trudi matrix and the transpose of the dual Jacobi-Trudi matrix are stably equiva- lent over symmetric functions. This ... Stable Equivalence over Symmetric Functions William Y. C. Chen 1 and Arthur L. B. Yang 2 Center for Combinatorics, ... stable equivalence of matrices over a ring, under which...

Ngày tải lên: 07/08/2014, 08:22

... B. E. A chro matic symmetric function in noncom- muting variables. J. Algebraic Combin. 13, 3 (2001), 227–255. [6] Riordan, J. An introduction to combinatorial analysis. Dover Publica t io ns, ... Rosas, M. H., and Sagan, B. E. Symmetric functions in noncommuting variables. Trans. Amer. Math. Soc. 358, 1 (2006), 215–232 (electronic). [8] Stanley, R. P. A symmetric function generalizatio...

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... cycles of size 3, subspaces of an n-dimensional vector space over GF(2). A partial case of Theorem 2 for M a linear vector space over the field GF (2), and V i one- or two-dimensional subspaces ... the electronic journal of combinatorics 3 (1996), #R24 2 1 Sufficient conditions of local equivalence Here we shall prove two sufficient conditions for all transversals of a set system to ... part...

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... Z g(y)=  Z⊆Y 0 ,Z=∅ (−1) |Z|−1 f(sup Z) . By the preceding lemma, any z ∈ Z is k-open and hence, sup Z is k-open. Since moreover sup Z>x 0 , the requirements give f(sup Z) = 0, whence the result. Dualizing Theorem 2.1 ... also note that 3.1 ⇒ 3.2 ⇒ 3.3.) the electronic journal of combinatorics 6 (1999), #R34 2 2. Sums over partially ordered sets We assume that the reader is familiar wi...

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... correspondence between equivalence classes of so-called fat left linear codes over a chain ring and equivalence classes of multisets of points in right projective Hjelmslev geometries over the same ring. ... codes over finite fields as multisets of points in classical projective geometries PG(k,q) [10]. However, there are some differences between linear codes over finite fields and lin...

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... the chain cover property: the monotone case for all n is covered in Section 2.1, and the symmetric case for n prime is covered in Section 2.2. Section 3 describes the Greene-Kleitman symmetric ... by R n has a symmetric chain decomposition with a certain cover property. Furthermore, from the SCD in this necklace-representative poset, we can construct a symmetric Venn diagram. 1.6 Over...

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